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Finding the Fourth Proportional to 39,211.40, 58,719.90 and 31,435.40

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Solution

The fourth proportional to 39,211.40, 58,719.90 and 31,435.40 is: 47,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,211.40 : 58,719.90 = 31,435.40 : x
  2. Step 2: Convert to fraction form
    39,211.40/58,719.90 = 31,435.40/x
  3. Step 3: Cross multiply
    39,211.40x = 58,719.90 × 31,435.40
  4. Step 4: Simplify right side
    39,211.40x = 1,845,883,544.46
  5. Step 5: Solve for x
    x = 1,845,883,544.46/39,211.40
  6. Step 6: Final answer
    x = 47,075.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.